Let α∈0,(n-1)/2 and T~α be the Bochner-Riesz operator of order α. In this paper, for n = 2 and n ≥ 3, the compactness on Lebesgue spaces and Morrey spaces are considered for the commutator of Bochner-Riesz operator generated by CMO(R^n) function and T~α.
In this note we consider Wente's type inequality on the Lorentz-Sobolev space.If▽f∈L^p1,q1(R^n),G ∈ L^(p2,q2)(R^n) and div G≡0 in the sense of distribution where(1/p1)+(1/P2)=(1/q1)+(1/q2)=1,1
In this paper, we prove the( Lp, Lq)-boundedness of(fractional) Hausdorff operators with power weight on Euclidean spaces. As special cases, we can obtain some well known results about Hardy operators.
